The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 24 - Inference about Variables: Part IV Review - Test Yourself - Page 569: 24.30

Answer

(a)

Work Step by Step

$\hat{p}=\frac{x}{n}=\frac{132}{348}\approx0.3793$ The z-value belonging to the $95\%$ confidence interval according to the table is $z=1.96$, thus the confidence interval is: $\hat{p}\pm z\sqrt{\frac{p(1-p)}{n}}$, which here is: $0.3793\pm 1.96\sqrt{\frac{0.3793\cdot(1-0.3793)}{348}}$, thus the confidence interval is $(0.328,0.43)$, thus the answer is (a)
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